Theorems · Definition
CompleteDistribLattice.copy
{α : Type u} →
(c : CompleteDistribLattice α) →
(le : α → α → Prop) →
le = LE.le →
(top : α) →
top = ⊤ →
(bot : α) →
bot = ⊥ →
(sup : α → α → α) →
sup = max →
(inf : α → α → α) →
inf = min →
(sdiff : α → α → α) →
sdiff = SDiff.sdiff →
(hnot : α → α) →
hnot = HNot.hnot →
(himp : α → α → α) →
himp = HImp.himp →
(compl : α → α) →
compl = Compl.compl →
(sSup : Set α → α) →
sSup = SupSet.sSup →
(sInf : Set α → α) → sInf = InfSet.sInf → CompleteDistribLattice αA function to create a provable equal copy of a complete distributive lattice with possibly different definitional equalities.
- Defined in
- Mathlib.Order.Copy
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Top.topstatement and proof · cited by 9,680
- Bot.botstatement and proof · cited by 4,720
- Compl.complstatement and proof · cited by 2,925
- SupSet.sSupstatement and proof · cited by 954
- InfSet.sInfstatement and proof · cited by 935
- SupSetstatement · cited by 154
- HImp.himpstatement and proof · cited by 153
- InfSetstatement · cited by 145
- Botstatement · cited by 96
- Topstatement · cited by 93
- Order.Frameproof · cited by 88
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